{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.4. Estimating the correlation between two variables with a contingency table and a chi-squared test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as st\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "player = 'Roger Federer'\n",
    "df = pd.read_csv('https://github.com/ipython-books/'\n",
    "                 'cookbook-2nd-data/blob/master/'\n",
    "                 'federer.csv?raw=true',\n",
    "                 parse_dates=['start date'],\n",
    "                 dayfirst=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "podoc": {
     "output_text": "Some tournaments"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of columns: 70\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ytef6z7c4aFJWqfEV9xj+t9/PY8tyW1kzx369u9dxbmS6V+s8fuL+/ubZg3wS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\nrkJggg==\n",
      "text/plain": [
       "Some tournaments"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(f\"Number of columns: {len(df.columns)}\")\n",
    "df[df.columns[:4]].tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "npoints = df['player1 total points total']\n",
    "points = df['player1 total points won'] / npoints\n",
    "aces = df['player1 aces'] / npoints"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "podoc": {
     "output_text": "Aces and won points"
    }
   },
   "outputs": [
    {
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Ly4szoxBVcKsN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EgOfwsQERERERHppKRIvgwuiaksd2HRNo+qYKGZek+XFDkxw+0wJJtUyTpFezL3Z9tGq/FK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\nG63v46IYLGsPA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CUtW7Y0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\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MAAAAAAAAAAAAAEhCExkAAAAAAAAAAAAAkIQmMgAAAAAAAAAAAAAgCU1kAAAAAAAAAAAA\nAEASmsgAAAAAAAAAAAAAgCQ0kQEAAAAAAAAAAAAASWgiAwAAAAAAAAAAAACS0EQGAAAAAAAAAAAA\nACShiQwAAAAAAAAAAAAASEITGQAAAAAAAAAAAACQhCYyAAAAAAAAAAAAACAJTWQAAAAAAAAAAAAA\nQBKayAAAAAAAAAAAAACAJDSRAQAAAAAAAAAAAABJaCIDAAAAAAAAAAAAAJLQRAYAAAAAAAAAAAAA\nJKGJDAAAAAAAAAAAAABIQhMZAAAAAAAAAAAAAJCEJjIAAAAAAAAAAAAAIAlNZAAAAAAAAAAAAABA\nEprIAAAAAAAAAAAAAIAkNJEBAAAAAAAAAAAAAEloIgMAAAAAAAAAAAAAktBEBgAAAAAAAAAAAAAk\noYkMAAAAAAAAAAAAAEhCExkAAAAAAAAAAAAAkIQmMgAAAAAAAAAAAAAgCU1kAAAAAAAAAAAAAEAS\nmsgAAAAAAAAAAAAAgCT/D31ABeqn1VzjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Aces and won points"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1)\n",
    "ax.plot(points, aces, '.')\n",
    "ax.set_xlabel('% of points won')\n",
    "ax.set_ylabel('% of aces')\n",
    "ax.set_xlim(0., 1.)\n",
    "ax.set_ylim(0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "podoc": {
     "output_text": "Aces and won points"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eTK1zAqSe9uVsZk7yjZIYQavVcjka8eZEXFymdBL/EwiQTRIToFnJi18PjeWH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\nAElFTkSuQmCC\n",
      "text/plain": [
       "Aces and won points"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_bis = pd.DataFrame({'points': points,\n",
    "                       'aces': aces}).dropna()\n",
    "df_bis.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "podoc": {
     "output_text": "Pearson correlation coefficient"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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atJ3TNBrOofLQuvphEn5IYdfn0DVt5f2e0tU5mwJYOO/7hJdArgWhDpa7D6kjeDiIcLGQ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\nMSAwIG9iaiA8PCCeMHjFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "Pearson correlation coefficient"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_bis.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_bis['result'] = (df_bis['points'] >\n",
    "                    df_bis['points'].median())\n",
    "df_bis['manyaces'] = (df_bis['aces'] >\n",
    "                      df_bis['aces'].median())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "podoc": {
     "output_text": "Contingency table"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qiuH98wCJonu4otAARivOlEQyjFuvKdzKw8FlK1wM7mOH2uF4fruOmgcZuC55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\nb2JqIDw8IJ4weMUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "Contingency table"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.crosstab(df_bis['result'], df_bis['manyaces'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.780e+01, 1.338e-07, 1,\n",
       "    array([[ 257.250,  256.749],\n",
       "           [ 256.749,  256.250]]))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "st.chi2_contingency(_)"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
